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QuestionAccounting

# X Class - CBSE Nature of system of linear equations : Let $a_{1} x+b_{1} y+c_{1}=0$ and $a_{2} x+b_{2} y+c_{2}=0$ is a system of | S.No. | Compare <br> ratios | Alachvale <br> Interpretation | Graphical <br> Representation | Nature of the <br> System | | :-- | :-- | :-- | :-- | :-- | | 1. | $\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}$ | Exactly one <br> solution (unique) | Intersecting lines | Consistent | | 2. | $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{2}}{c_{2}}$ | Infinitely many <br> solutions | Coincident lines | Consistent and dependent | | 3. | $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \neq \frac{c_{2}}{c_{2}}$ | No solution | Parallel lines | Inconsistent | Note: The solution of a consistent system of linear equations is the coordinates of intersecting point of the two lines represented by them. ## EXERCISE 3.1 1. On comparing the ratios, $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}}$ and $\frac{c_{1}}{c_{2}}$, find out whether the lines representing the given pairs of linear equations intersect a point, are parallel or coincident. Sol. i) $5 x-4 y+8=0$ $7 x+6 y-9=0$ Comparing the given equations with standard forms of equations $a_{1} x+b_{1} y+c_{1}=0$ and $a_{2} x+b_{2} y+c_{2}=0$ we have $$ a_{1}=5, b_{1}=-4, c_{1}=8 ; a_{2}=7, b_{2}=6, c_{2}=-9 $$ Now $\frac{a_{1}}{a_{2}}=\frac{5}{7}, \frac{b_{1}}{b_{2}}=\frac{-4}{6}$ $$ \frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}} $$ Thus the lines representing the pair of linear equation are intersecting. ii) $9 x+3 y+12=0,18 x+6 y+24=0$ We have $a_{1}=9, b_{1}=3, c_{1}=12 ; a_{2}=18, b_{2}=6, c_{2}=24$ Now $\frac{a_{1}}{a_{2}}=\frac{9}{18}=\frac{1}{2}, \frac{b_{1}}{b_{2}}=\frac{3}{6}=\frac{1}{2}$ and $\frac{c_{1}}{c_{2}}=\frac{12}{24}=\frac{1}{2}$

What is the percent recovery formula?

Andrea Apple opened Apple Photography on January 1 of the current year. During January, the following transactions occurred and were recorded in the company's books: Andrea invested $14,700 cash in the business in exchange for common stock. Andrea contributed $32,000 of photography equipment to the business. The company paid $3,300 cash for an insurance policy covering the next 24 months. The company received $6,900 cash for services provided during January. The company purchased $7,400 of office equipment on credit. The company provided $3,950 of services to customers on account. The company paid cash of $2,700 for monthly rent. The company paid $4,300 on the office equipment purchased in transaction #5 above. Paid $395 cash for January utilities. # Multiple Choice ## $\square$ $\$ 57,050$. ## $\square$ $\$ 14,855$. ## $\square$ $\$ 10,905$. ## $\square$ $\$ 22,300$. ## $\square$ $\$ 17,650$.

Question 5 of 6 The total cost of attending a university includes: A. tuition, housing, food, books, and other costs B. student loans and federal grants C. tuition, scholarships, grants, and loans D. scholarships, grants, and other forms of financial aid

Working with a broker or brokerage firm is: A. only available through an app. B. limited and never includes asset allocation guidance. C. recommended but optional for making investments. D. needed to buy or sell assets in the market.

How do you say "tissue" in Spanish?